The following table shows the details about the expenditures (in percentages) of Indian Hotel industries under various components. Component of Expenditure Percentage of expenditure Administrative 30 Salary 20 Maintenance 14 Food and Beverages 12 Electricity 16 Savings 8 Draw pie diagram to represent the data. Also find the angle of the sector corresponding to salary.

We have, Class frequency = 100 Component of Expenditure Percentage of expenditure Angle of the circle Administrative 30 30 100 × 360 = 108 0 Salary 20 20 100 × 360 = 72 0 Maintenance 14 14 100 × 360 = 50 . 4 0 Food and Beverages 12 12 100 × 360 = 43 . 2 0 Electricity 16 16 100 × 360 = 57 . 6 0 Savings 8 8 100 × 360 = 28 . 8 0 Thus the pie chart will be: From the table above we observe that the angle for Salary is 72 0

The following table shows the details about the expenditures (in percentages) of Indian Hotel industries under various components. Component of Expenditure Percentage of expenditure Administrative 30 Salary 20 Maintenance 14 Food and Beverages 12 Electricity 16 Savings 8 Draw pie diagram to represent the data. Also find the difference between the angles corresponding to Electricity and Maintenance.

We have, Class frequency = 100 Component of Expenditure Percentage of expenditure Angle of the circle Administrative 30 30 100 × 360 = 108 0 Salary 20 20 100 × 360 = 72 0 Maintenance 14 14 100 × 360 = 50 . 4 0 Food and Beverages 12 12 100 × 360 = 43 . 2 0 Electricity 16 16 100 × 360 = 57 . 6 0 Savings 8 8 100 × 360 = 28 . 8 0 Thus the pie chart will be: From the table above we observe that the difference between the angles corresponding to Electricity and Maintenance is = 57 . 6 - 50 . 4 = 7 . 2

Draw more than Ogive curve for the following data showing the marks secured by the students of Class XI in a school. Marks Number of students 0 - 10 2 10 - 20 4 20 - 30 9 30 - 40 10 40 - 50 8 50 - 60 5 60 - 70 3 70 - 80 2 Estimate the total number of students who secured marks more than 33

We have, Marks (More than) Number of Students 0 43 10 41 20 37 30 28 40 18 50 10 60 5 70 2 From the graph, we can observe that, 25 students have secured marks more than 33

Draw more than Ogive curve for the following data showing the marks secured by the students of Class XI in a school. Marks Number of students 0 - 10 2 10 - 20 4 20 - 30 9 30 - 40 10 40 - 50 8 50 - 60 5 60 - 70 3 70 - 80 2 Find median of the data.

We have, Marks (More than) Number of Students 0 43 10 41 20 37 30 28 40 18 50 10 60 5 70 2 From the graph, we can observe that the median is 37

EASY

11th Tamil Nadu Board

IMPORTANT

Earn 100

Distinguish multiple bar diagrams and component bar diagrams.

Important Questions on Diagrammatic and Graphical Representation of Data

EASY

11th Tamil Nadu Board

IMPORTANT

Statistics Standard 11>Chapter 4 - Diagrammatic and Graphical Representation of Data>EXERCISE>Q 1

Which one of the following diagrams displays the class frequencies at the same height?

HARD

11th Tamil Nadu Board

IMPORTANT

Statistics Standard 11>Chapter 4 - Diagrammatic and Graphical Representation of Data>EXERCISE>Q 27

Write down the method of constructing Pie diagram.

EASY

11th Tamil Nadu Board

IMPORTANT

Statistics Standard 11>Chapter 4 - Diagrammatic and Graphical Representation of Data>EXERCISE>Q 33

What are the general rules to be followed for constructing diagrams?

MEDIUM

11th Tamil Nadu Board

IMPORTANT

Statistics Standard 11>Chapter 4 - Diagrammatic and Graphical Representation of Data>EXERCISE>Q 38

The following table shows the number of students studying in three schools, preferred Walking/Cycling to go to their schools. Draw multiple bar diagram to the data.

Preferences of Students	School A	School B	School C
Walking	$400$	$550$	$150$
Cycling	$450$	$250$	$350$

HARD

11th Tamil Nadu Board

IMPORTANT

Statistics Standard 11>Chapter 4 - Diagrammatic and Graphical Representation of Data>EXERCISE>Q 41

The following table shows the details about the expenditures (in percentages) of Indian Hotel industries under various components.

Component of Expenditure	Percentage of expenditure
Administrative	$30$
Salary	$20$
Maintenance	$14$
Food and Beverages	$12$
Electricity	$16$
Savings	$8$

Draw pie diagram to represent the data. Also find the angle of the sector corresponding to salary.

HARD

11th Tamil Nadu Board

IMPORTANT

Statistics Standard 11>Chapter 4 - Diagrammatic and Graphical Representation of Data>EXERCISE>Q 41

The following table shows the details about the expenditures (in percentages) of Indian Hotel industries under various components.

Component of Expenditure	Percentage of expenditure
Administrative	$30$
Salary	$20$
Maintenance	$14$
Food and Beverages	$12$
Electricity	$16$
Savings	$8$

Draw pie diagram to represent the data. Also find the difference between the angles corresponding to Electricity and Maintenance.

HARD

11th Tamil Nadu Board

IMPORTANT

Statistics Standard 11>Chapter 4 - Diagrammatic and Graphical Representation of Data>EXERCISE>Q 48

Draw more than Ogive curve for the following data showing the marks secured by the students of Class XI in a school.

Marks	Number of students
$0 - 10$	$2$
$10 - 20$	$4$
$20 - 30$	$9$
$30 - 40$	$10$
$40 - 50$	$8$
$50 - 60$	$5$
$60 - 70$	$3$
$70 - 80$	$2$

Estimate the total number of students who secured marks more than $33$

HARD

11th Tamil Nadu Board

IMPORTANT

Statistics Standard 11>Chapter 4 - Diagrammatic and Graphical Representation of Data>EXERCISE>Q 48

Draw more than Ogive curve for the following data showing the marks secured by the students of Class XI in a school.

Marks	Number of students
$0 - 10$	$2$
$10 - 20$	$4$
$20 - 30$	$9$
$30 - 40$	$10$
$40 - 50$	$8$
$50 - 60$	$5$
$60 - 70$	$3$
$70 - 80$	$2$

Find median of the data.

Distinguish multiple bar diagrams and component bar diagrams.

Important Questions on Diagrammatic and Graphical Representation of Data

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